By M. Karoubi, C. Leruste

During this quantity the authors search to demonstrate how equipment of differential geometry locate program within the learn of the topology of differential manifolds. must haves are few because the authors take pains to set out the speculation of differential varieties and the algebra required. The reader is brought to De Rham cohomology, and particular and targeted calculations are current as examples. subject matters coated contain Mayer-Vietoris specified sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This publication might be compatible for graduate scholars taking classes in algebraic topology and in differential topology. Mathematicians learning relativity and mathematical physics will locate this a useful advent to the suggestions of differential geometry.